14 citations · 54 across the 33 of their papers we have counts for
37 papers
Facial distance and diameter
Antoine Deza, David Martínez-Rubio, Javier Peña +1
The facial distance of a polytope, equivalently its pyramidal width, is a geometric condition measure that appears in the convergence bounds for Frank--Wolfe algorithms. Peña and W…
Bounded-Support Additive Latin Transversals
Antoine Deza, Yan Gerard, Yijun Ma +1
We consider the following additive Latin transversal problem. Given a multiset of elements of and a set of cardinality …
Admission and Assortment Optimization for Multi-size Automated Parcel Lockers
Carlos Aníbal Suárez, Antoine Deza, Tal Raviv
We study admission control and capacity design for automated parcel lockers with multiple parcel and locker sizes. A smaller parcel can use a larger locker, but doing so may block…
On the volumes of the elliptope, metric polytope, and cut polytope
David Avis, Luc Devroye, Antoine Deza
In this paper, we investigate the relationships between the volumes of four convex bodies: the cut polytope, metric polytope, rooted metric polytope, and elliptope, defined on grap…
Electric Vehicle Charging Network Design under Congestion
Antoine Deza, Kai Huang, Carlos Aníbal Suárez
This paper presents an extension of a recently introduced multistage stochastic integer model designed for optimizing the deployment of charging stations under uncertainty. A key c…
Small kissing polytopes
Antoine Deza, Zhongyuan Liu, Lionel Pournin
A lattice -polytope is the convex hull of a set of points in whose coordinates are integers ranging between and . We consider the smallest possible dis…